The tower weighs about 10000 tons
The height is 324m, the base is 125m x 125m. So a total volume of 324*125*125= 5062500 m^3
The density of air is 1.275 kg/m^3
So the weight is 1.275 kg/m^3 *5062500 m^3 =6.4547Ã—10^6 kg

10000 tons is equal to 1Ã—10^7 kg, which is greater than 6.45Ã—10^6 kg

So the tower itself has a greater mass according to the numbers I have